Cook the eggs: Place the eggs in a saucepan and cover with water by at least 1 inch. Bring to a boil over high heat.
Turn off heat and cover: Once boiling, cover the pan with a lid, turn off the heat, and let the eggs sit for 15 minutes.
Cool quickly: Move the eggs to cold running water or an ice bath until completely cool.
Peel: Peel the eggs once they’re cool enough to handle.
Dye with beet juice: Pour the pickled beets and all of the juice into a glass bowl or container (glass is best since beet juice can stain plastic). Add the peeled eggs. Make sure they’re mostly submerged.
Refrigerate: Cover and refrigerate for 24 to 36 hours, turning the eggs once or twice if needed for even coloring.
Serve: Remove the eggs from the beet juice, pat dry, and serve chilled.